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math.GR2020
Distributive lattices, associative geometries: the arithmetic case
Wolfgang Bertram
We prove an identity for five arguments, valid in the lattice of natural numbers with gcd and lcm as lattice operations. More generally, this identity characterizes arbitrary distr…
math.AG2020
A functorial approach to differential calculus
Wolfgang Bertram, Jérémy Haut
We show that differential calculus (in its usual form, or in the general form of topological differential calculus) can be fully imdedded into a functor category (functors from a s…